Sunday, 25 December 2011

Sunday 25 December

Today is the 359 day of the year. 359 is a prime number.
(359 - 1) / 2 = 179 which is also prime thus 359 is a safe prime.
359 is an Emirp because the reversal of the the digits, 953, is also prime.
3 + 5 + 9 = 17 which is also prime.
Whatever base 359 is written in, from base 2 to base 357, the number is never palindromic:
101100111 (base 2)
111022 (base 3)
11213 (base 4)
2414 (base 5)
1355 (base 6)
1022 (base 7)
547 (base 8)
438 (base 9)
359 (base 10)
2A7 (base 11)
25B ( base 12)
218 (base 13)
1B9 (base 14)
18E (base 15)
167 (base 16)
.
.
.
12 (base 357)

2 comments:

Anonymous said...

Unfortunately, due to you being a mathematician, you seem unable to complete the basic functions, whilst still providing us with fantastic insights into the more obscure sets to which these numbers belong. You know to what it is that I refer.


I remain, Sir,

Your Son

paulsc said...

Your Polya like criticism is correct. I have amended the offending expression.